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Finding the Third Proportional to 453,780 and 978,270

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Solution

The third proportional to 453,780 and 978,270 is: 2,108,978.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,780 : 978,270 = 978,270 : x
  2. Step 2: Convert to fraction form
    453,780/978,270 = 978,270/x
  3. Step 3: Cross multiply
    453,780x = 978,270 × 978,270
  4. Step 4: Simplify right side
    453,780x = 957,012,192,900
  5. Step 5: Solve for x
    x = 957,012,192,900/453,780
  6. Step 6: Final answer
    x = 2,108,978.34

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.